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Finding the Fourth Proportional to 5,899.89, 8,089.09 and 5,794.59

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Solution

The fourth proportional to 5,899.89, 8,089.09 and 5,794.59 is: 7,944.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,899.89 : 8,089.09 = 5,794.59 : x
  2. Step 2: Convert to fraction form
    5,899.89/8,089.09 = 5,794.59/x
  3. Step 3: Cross multiply
    5,899.89x = 8,089.09 × 5,794.59
  4. Step 4: Simplify right side
    5,899.89x = 46,872,931.05
  5. Step 5: Solve for x
    x = 46,872,931.05/5,899.89
  6. Step 6: Final answer
    x = 7,944.71

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.